Nonlinear and multiplicative inequalities in Sobolev spaces associated with Lie algebras

DOI10.1016/J.NA.2008.02.036zbMath1176.47045OpenAlexW2073766576MaRDI QIDQ1005267

Sandra Lucente, Vladimir Georgiev

Publication date: 9 March 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.02.036

zbMATH Keywords

generalized Sobolev spacesmultiplicative inequalities

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Cites Work

• The superposition operator in function spaces - A survey
• Pseudodifferential operators and nonlinear PDE
• Operatori pseudo-differenziali in R\(^n\) e applicazioni
• Decay for nonlinear Klein-Gordon equations
• Decay estimates for hyperbolic systems
• Uniform decay estimates and the lorentz invariance of the classical wave equation
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